You and your eight-year-old nephew Elmo decide to play a simple card game. Atthe beginning of the game, the cards are dealt face up in a long row. Each card isworth a different number of points. After all the cards are dealt, you and Elmo taketurns removing either the leftmost or rightmost card from the row, until all the cardsare gone. At each turn, you can decide which of the two cards to take. The winner ofthe game is the player that has collected the most points when the game ends.Having never taken an algorithms class, Elmo follows the obvious greedystrategywhen its his turn, Elmo always takes the card with the higher point value.Your task is to find a strategy that will beat Elmo whenever possible. (It might seemmean to beat up on a little kid like this, but Elmo absolutely hates it when grown-upslet him win.)(a) Prove that you should not also use the greedy strategy. That is, show that thereis a game that you can win, but only if you do not follow the same greedystrategy as Elmo.(b) Describe and analyze an algorithm to determine, given the initial sequence ofcards, the maximum number of points that you can collect playing against Elmo.(c) Five years later, Elmo has become a much stronger player. Describe andanalyze an algorithm to determine, given the initial sequence of cards, themaximum number of points that you can collect playing against a perfectopponent
Looking for solution of this Assignment?
WHY CHOOSE US?
We deliver quality original papers |
Our experts write quality original papers using academic databases.We dont use AI in our work. We refund your money if AI is detected |
Free revisions |
We offer our clients multiple free revisions just to ensure you get what you want. |
Discounted prices |
All our prices are discounted which makes it affordable to you. Use code FIRST15 to get your discount |
100% originality |
We deliver papers that are written from scratch to deliver 100% originality. Our papers are free from plagiarism and NO similarity.We have ZERO TOLERANCE TO USE OF AI |
On-time delivery |
We will deliver your paper on time even on short notice or short deadline, overnight essay or even an urgent essay |